Atkin-Lehner |
3+ 5+ 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
40515b |
Isogeny class |
Conductor |
40515 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-505612325930625 = -1 · 34 · 54 · 374 · 732 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51618,-4663287] |
[a1,a2,a3,a4,a6] |
j |
-15210390999421833769/505612325930625 |
j-invariant |
L |
0.63223661331951 |
L(r)(E,1)/r! |
Ω |
0.15805915332187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121545l2 |
Quadratic twists by: -3 |